36821 has 2 divisors, whose sum is σ = 36822. Its totient is φ = 36820.

The previous prime is 36809. The next prime is 36833. The reversal of 36821 is 12863.

It is a balanced prime because it is at equal distance from previous prime (36809) and next prime (36833).

It can be written as a sum of positive squares in only one way, i.e., 28900 + 7921 = 170^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 36821 - 2¹⁰ = 35797 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36793 and 36802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36821.

It is not a weakly prime, because it can be changed into another prime (36871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18410 + 18411.

It is an arithmetic number, because the mean of its divisors is an integer number (18411).

2³⁶⁸²¹ is an apocalyptic number.

It is an amenable number.

36821 is a deficient number, since it is larger than the sum of its proper divisors (1).

36821 is an equidigital number, since it uses as much as digits as its factorization.

36821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 36821 is about 191.8879881598. The cubic root of 36821 is about 33.2683957979.

The spelling of 36821 in words is "thirty-six thousand, eight hundred twenty-one".